Q1. Find the selling price when:

C.P. = Rs. 7640 Gain=15%

   S.P.\ =\left(1+\frac{15}{100}\right)\times{}7640=8786\ Rs.    

C.P. = Rs.4850, Loss=12%

   S.P.\ =\left(1-\frac{12}{100}\right)\times{}4850=4268\ Rs.    

C.P. = Rs.720, Loss= %

   S.P.\ =\left(1-\ \frac{8\frac{3}{4}}{100}\right)\times{}720=657\ Rs.    

C.P. = Rs.2652, Gain= %

   S.P.\ =\left(1+\ \frac{16\frac{2}{3}}{100}\right)\times{}2652=3094\ Rs.    

 

Q.2 Find the Cost Price, When;

S.P. = Rs.207, Gain 15%

   C.P.\ =\ \left(\frac{100}{100+15}\right)\times{}207=180\ Rs.    

S.P. = Rs.448.20, Loss 17%

   C.P.\ =\ \left(\frac{100}{100-17}\right)\times{}448.20=540\ Rs.    

S.P. = Rs.1479, Gain 6 %

   C.P.\ =\ \left(\frac{100}{100+6\frac{1}{4}}\right)\times{}1479=1392\ Rs.    

S.P. = Rs.611.80, Loss 8%

   C.P.\ =\ \left(\frac{100}{100-8}\right)\times{}611.80=665\ Rs.    

 

Q.3 A Sells a cycle to B at a Profit of 20% and B Sells it to C at a Profit of 5%. If C pays Rs.3780, What did A Pay for it?

Answer:

Let C.P. of A   = x    

Then, S.P. of A = C.P. of B   = 1.2 x    

S.P. of B   = (1.2x) \times (1.05) =1.26x    

Therefore

  1.26 x = 3780    

  x = 3000    

Hence A Paid Rs. 3000 for the cycle.

 

Q.4 A Sold a watch to B at 12% gain and B had to sell if it Manu at a loss of 5%. If C Paid Rs. 5320 then how much did A Pay?

Answer:

Let C.P. of A      = x    

C.P. of B   =1.12x    

Then, S.P. of A = C.P. of B   = 1.2 x    

S.P. of B   = (1.12x) \times (0.95) =1.064x    

Therefore

  1.064 x = 5320   

  x = 5000   

Hence A Paid Rs.5000 for the Watch

 

Q.5 A Grocer Purchase 80 kg of Rice at Rs.27/Kg and mixed it with 120 kg of rice purchased at Rs. 32/kg. At what rate per kg should he sell the mixture to gain 16%?

Answer:

Let Total C.P.   = 80 \times{}27 + 120\times{} 32 = 6000    

For   16\%     gain Total S.P.   = \left(\frac{100+16}{100}\right)\times{}6000=6960   

Total Quantity   = 80 + 120 = 200 kg   

Hence S.P. per kg   = \frac{6960}{200}=34.8\ Rs./kg   

 

Q.6 A Bought two bags for Rs. 1150 each. A the sold one of them at a gain of 6% and the other at a loss of 2%. How much did A Gain?

Answer:

Total C.P.   = 1150 \times 2 = 2300 Rs.   

Total S.P.   = \left(\frac{100+6}{100}\right)\times{}1150+\left(\frac{100-2}{100}\right)\times{}1150  

  = 1219 + 1127 = 2346 Rs.  

  Gain \% = \left(\frac{2346-2300}{2300}\right)\times{}100=2\%  

 

Q.7 A trader purchased a wall clock and a watch for a sum of Rs.5070. He sold them making a profit of 10% on the wall clock and 15% on the watch he earns Rs.699.50. Find the cost price of the wall clock and that of the watch.

Answer:

Let the C.P. of wall clock   = {x}   

Let the C.P. of wall clock   = {y}   

Therefore

  \hspace{5pt}{x + y} = 5070  

Also   \hspace{5pt}1.1{x} + 1.15{y} = 5070 + 669.5  \hspace{5pt}= 5739.5  

Solving for  {x}   \hspace{5pt} and \hspace{5pt} {y}   we get

 {x} =1820 Rs.  \hspace{5pt}or \hspace{5pt} {y} = 3250 Rs.  

Hence Cost of Wall Clock    =1820 Rs. and Cost of Watch   = 3250 Rs.  

 

Q.8 Toffees are bought at 15 for Rs.20. How many toffees would be sold for Rs.20 so as to gain 25%?

Answer:

C.P. of 15 Toffees  = Rs.20  

Therefore, C.P. of 1 Toffee  =\ \frac{20}{15}\ Rs. 

For  25\% gain, S.P. of 1 Toffee  =\ \ \frac{20}{15}\times{}1.25=\ \frac{25}{15}Rs.  

Therefore number of toffees that you can sell in 20 Rs  =\frac{20}{25/15}=\frac{20\times{}15}{25}=12\ \ Toffees

 

Q.9 Two-thirds of a consignment was sold at a profit of 5% and the remaining at a loss of 2%. If the total profit was Rs.4000, Find the value at which the consignment was purchase?

Answer:

Let the C.P. of Consignment  = \textit{x}

Therefore

 \frac{2}{3}x\times{}1.05+\frac{1}{3}x\times{}0.98=x+4000

 \frac{70}{100}x+\frac{98}{300}x=x+4000

 \frac{8}{300}x=4000\ or\ x=150000\ Rs

 

Q.10 A Grocer bought sugar worth Rs. 4500. He sold 1/3 of it at 10% Gain. At what gain % the remaining sugar be sold to have a 12% gain on the whole?

Answer:

C.P. of sugar  = 4500 Rs.

Let the  Gain \%  of on the remaining sugar  = \textit{x }\%

Therefore

 \frac{1}{3}\times{}\ 4500\ \times{}\ 1.1+\frac{2}{3}\times{}4500\ \times{}\ \left(1+\frac{x}{100}\right)=4500\ \times{}\ 1.12  

 1650+3000+30x=5040\ or\ x=13\%  

 

Q.11 A Man buys a piece of land for Rs.38400. He sells 2/5 of at a loss of 6%. At what Gain %, the remaining piece of land be sold to gain 10% on the whole?

Answer:

C.P. of land  = 38400 Rs.  

2/5 the of land sold at a loss of  6\%  

Let’s the remainder be sold at  x \%    gain

Therefore

 \frac{2}{5}\ \times{}\ 38400\ \times{}\ 0.94+\frac{3}{5}\ \times{}\ 38400\ \times{}\ \left(1+\frac{x}{100}\right)=38400\ \times{}\ 1.1    

 14438.4+23040(1+0.01x)=42240    

Solving for  x    we get  x =20 \frac{2}{3}\%   

 

Q.12 By Selling a car for Rs.10416, a man gain 12%. What will be his gain or loss percent if it is sold for Rs.9114.

Answer:

Let the cost of the car  = x   

Therefore,

 \left(1+\frac{12}{100}\right)x=10416\ or\ x=9300\ Rs.   

 x = 9300Rs.   

If S.P  = Rs.9114   

 Loss\ \%=\left(\frac{9300-9114}{9300}\right)\times{}100=2\%   

 

Q.13 A Chair sold for Rs.2142 at a Gain at 5% At what price should it be sold to gain 10%

Answer:

Let The C.P. of chair  = {x}  

Then,  \left(1+\frac{5}{100}\right)x=2142\ or\ x=2040\ Rs.  

For  10\%   Gain

S.P. \ =\left(1+\frac{10}{100}\right)\times{}2040=2244\ Rs.  

 

Q.14 A television is sold for Rs. 9360 at a loss of 4%. For how much it should have been sold be gain 4%?

Answer:

Let the C.P. of Television  = {x}  

 \left(1-\frac{4}{100}\right)x=9360\ or\ x=9750\ Rs  

To gain  4\%,  

S.P. \ =\left(1+\frac{4}{100}\right)\times{}9750=10140\ Rs.  

 

Q.15 A shop keeper sold two fans at Rs. 1980 each. On one he gained 10%, while other he cost 10%. Calculate the gain or loan percent on whole transaction?

Answer:

Let C.P. of  1^{st} fan = {x} Rs.  

Let C.P. of  2^{nd} fan= {y} Rs.  

Therefore,  \left(1+\frac{10}{100}\right)x=1980\ or\ x=1800  

Similarly  \left(1-\frac{10}{100}\right)y=1980\ or\ y=2200  

Hence, Total C.P.  = 1800 + 2200 = 4000 Rs.  

Total S.P.  = 2\times{}1980 = 3960 Rs.  

 Loss\ \%=\left(\frac{4000-3960}{4000}\right)\times{}100=1\%  

 

Q.16 Shanti sold two cameras for Rs. 6555 each. On one she lost 5%, while on the other she gained 15%. Find the gain or loss percentage in whole transaction.

Answer:

Let, C.P. of  1^{st} Camera = {x}  

Let C.P. of  2^{nd} Camera = {y}  

Therefore,  \left(1-\frac{5}{100}\right)x=6555\ or\ x=6900  

Similarly  \left(1+\frac{15}{100}\right)y=6555\ or\ y=5700  

Total C.P.  = 6900 + 5700 = 12600 Rs.  

Total S.P.  = 2\times{}6555 = 13110 Rs.  

 Gain\ \%=\left(\frac{13110-12600}{12600}\right)\times{}100=4\frac{1}{21}\%  

 

Q.17 By selling 45 lemons for Rs. 40, a man loses 20% how many should he sell for Rs. 24 to gain 20% on the transaction.

Answer:

Let C.P. of a lemon  = x Rs.  

S.P. of one Lemon  =\ \ \frac{40}{45}Rs.  

Therefore  \left(1-\frac{20}{100}\right)x=\ \frac{40}{50}\ or\ x=\ \frac{10}{9}\ Rs.  

To gain 20\%   on the transaction,

 S.P.\ of\ one\ Lemon=\left(1+\frac{20}{100}\right)\times{}\frac{10}{9}=\ \frac{4}{3}Rs  

Need to be sold for 24Rs.  = \frac{24}{4/3}=18\    Lemons

 

Q.18 A sold a pressure cooker at a loss of 8%. Had she bought it at 10% less and sold for Rs.176 more, she would have gained 20%. Find the cost price of the pressure cooker.

Answer:

Let the cost of pressure cooker  = x  

S.P.  = 0.92x  

New C.P.  = 0.9x  

New S.P.   = 0.92x + 176  

Therefore  Gain \%  

 \frac{0.92x+176-0.9x}{0.9x}=\ \frac{20}{100}  

 \frac{0.2x+176}{0.9x}=\ \frac{20}{100}  

 2x+17600=8x\ or\ x=1100\ Rs.  

Cost of the cooker  = 1100 Rs.  

 

Q.19 A Man sold a toaster at a profit of 10%. Had he purchased of for 5% less and sold it for 56Rs. more, he would have gained 25%. How much did he buy for?

Answer:

Let, C.P. of Toaster  = x  

S.P. of Toaster  = 1.1x  

New C.P.  = 0.95x  

New S.P.  =1.1x + 56  

Gain  = 25\%  

Therefore:   \frac{1.1x+56-0.95x}{0.95x}=\ \frac{25}{100}  

 \frac{0.15x+56}{0.95x}=\ \frac{25}{100}  

 15x+5600=23.75x\ or\ x=640\ Rs.  

The man bought the toaster for Rs.640

 

Q.20 A shopkeeper sells each of his goods at a gain of . If on any day, his total sell was Rs. 9408, what was?

i) The total cost of all goods sold on that day

ii) His profit of that day

Answer:

Let the total C.P. of goods  = x  

Therefore,

 \left(1+\frac{22.5}{100}\right)x=9408\ or\ x=7680\ Rs.  

Profit for day  = 9408-7680 =1728 Rs.  

Advertisements